An estimation of singular values of convolution operators

Dostonic, Milutin R.

doi:10.1090/S0002-9939-1995-1246522-3

An estimation of singular values of convolution operators
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by Milutin R. Dostonic PDF

Proc. Amer. Math. Soc. 123 (1995), 1399-1409 Request permission

Abstract:

In this paper we determine the asymptotic order of singular values of convolution operators $\smallint _0^xk(x - y) \bullet dy$, where $k(x) = {x^{\alpha - 1}}L(1/x)(0 < \alpha < 1/2)$ and L is a slowly varying function from some class.

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